Research on the modeling and analysis for phase transition

相变建模与分析研究

• 批准号: 04640210
• 负责人: KAWARADA Hideo
• 金额: $ 1.28万
• 依托单位: Chiba University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1992
• 资助国家: 日本
• 起止时间: 1992 至 1993
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-04640210/
• 关键词: Phase transition; Free surface; Modeling; Signorini; Fuzzy model; 相転位現象; 自由境界問題; 非線型変分不等式; 高温超伝導; カーン・ヒリアード方程式

This project has continued for two years from 1992 to 1993. Many excellent results have been obtained by our group.Main topics of our researches are the followings.1. Development of numerical computation for solidification problems with moving surface and free boundary problems using the spectral method.2. Development of analysis on phase field equations with constraints.3. Development of modeling and analysis in nonlinear phenomena with Signorini's boundary.4. Development of analysis for the stability of Fuzzy control systems.

该项目从1992年至1993年持续了两年。本课题组已经取得了许多优秀的研究成果，主要研究内容如下：1.利用谱方法发展了具有移动表面和自由边界的凝固问题的数值计算.发展了带约束相场方程的分析方法. Signorini边界非线性现象建模与分析的发展.模糊控制系统稳定性分析的发展。

项目成果

Shin Kawase: "Function Representation by Fuzzy Reasoning." IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences. E77-A. 281-290 (1994)

Shin Kawase：“模糊推理的函数表示。”

N.Kenmochi: "Asymptotic stability for parabolic variational inequalities with hysteresis." (to appear). 59-70

N.Kenmochi：“带滞后的抛物线变分不等式的渐近稳定性。”

A.Sasamoto: "Numerical Simulation of the Flow in a Vessel with the Free Boundary and the Sliding Wall." GAKUTO International Series Mathematical Sciences and Applications. 1. 175-187 (1993)

A.Sasamoto：“具有自由边界和滑动壁的容器中流动的数值模拟。”

河原田 秀夫: "性質の悪い形状設計問題へのファジィ理論の応用。" 情報処理学会研究報告. 92. 9-12 (1992)

Hideo Kawarada：“模糊理论在属性较差的形状设计问题中的应用。”日本信息处理协会研究报告 92. 9-12 (1992)。

T.Hanada: "Numerical Computation for Solidification Problems with Moving Surface." GAKUTO International Series Mathematical Sciences and Applications. 1. 17-38 (1993)

T.Hanada：“移动表面凝固问题的数值计算”。